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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19
# Folio 33v, page id 00068016:0066
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problima ration Jam diximus
Z esse - npp + ad id est hoc
r
21
loco quia p est 0. erit zaequ.  ad
tC
porro ad est 35. et  aadd est 1225
ergo 4a ee r aa dd est
Porro inum etiam sine hujusmodi determinationibus generalibus
regulis perfectis atque absolutis impossibilitatem aut possibilitatem
solutionis rationalis ostendimus, poterimus
determinatignes varias particulares
illis similes quas Cl. Monfortius
dedit exhibere sine ulla na analysi,
sumenda tantum exempla Triangula
quaelibet in quibus latera et segmenta
leit s
habentur sive consu cons commensulabilia sunt
(x. 9. adhibendo Triangulum cujus latera sunt
notessimum 2 4. 5. seu 15. 20. 25. Segmenta basis AD, 16, DC, 9 altitudo seu perpendiculum 12)
isu perpendiculum
eius ope omnia problemata cidensia
solvere poterimus, si nihil aliud
quaerimus quam ejus modi determinationes.
Nam pro probl. ultimo dicimus
Data differratia segmentorum basis, 7
una ratione quam habet area rutio
angulo A seu ratione A_ ad Bd
5 ad 4 ratio et ratione
quam habet quad ratum aggregati
laterum circa verticem, assumto dato
plano 175 ad datum planum 700
quae sit dupla, in venietur
latera trianguli esse AB, 2o, BC, 15 et AB, 20
et BC, 15 et AC 25. Quouum nam
datter ubi segmenta baseos 16.9
AB AD 16, et DC, 9 habent differentiam 7 et perpendic. ABD, 12
 et Y latus AB 20, est ad segmentum AD, 16 ut 3 ad 4.
ut 5 ad 4. et quadratu aggregatum
laterum circa verticem 20 et 15 est 35
cujus quad rato 1225 si addas planum datum
fiet 1400 cujus ratio ad planum datum 700 est 2 ut 2 ad 1.
Ea Eodam modo caetera omnia problemata hoc unico triangulo
ad hoc unicum problema De determinare
atque hoc modo (si sic loqui licet) solvere
Dossumus. Et alio quocunque Trangulo latera
et sogmento baseos ommensurabilia habente
BC.
qu
differentia etsegmen
lorum baseos 164
mub scho giosvirbu
cardu